Observation of $B_{s}^{0} - {\bar{B}}_{s}^{0}$ Oscillations

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We report the observation of

B_{s}^{0} − {\bar{B}}_{s}^{0}

oscillations from a time-dependent measurement of the

B_{s}^{0} − {\bar{B}}_{s}^{0}

oscillation frequency

Δ m_{s}

. Using a data sample of

1 {fb}^{- 1}

p \bar{p}

collisions at

\sqrt{s} = 1.96 TeV

collected with the CDF II detector at the Fermilab Tevatron, we find signals of 5600 fully reconstructed hadronic

B_{s}

decays, 3100 partially reconstructed hadronic

B_{s}

decays, and 61 500 partially reconstructed semileptonic

B_{s}

decays. We measure the probability as a function of proper decay time that the

B_{s}

decays with the same, or opposite, flavor as the flavor at production, and we find a signal for

B_{s}^{0} − {\bar{B}}_{s}^{0}

oscillations. The probability that random fluctuations could produce a comparable signal is

8 \times 10^{- 8}

, which exceeds

5 σ

significance. We measure

Δ m_{s} = 17.77 \pm 0.10 (stat) \pm 0.07 (syst) {ps}^{- 1}

and extract

| V_{td} / V_{ts} | = 0.2060 \pm 0.0007 (Δ m_{s})_{- 0.0060}^{+ 0.0081} (Δ m_{d} + theor)

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Observation ofBs0−B¯s0Oscillations